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Popular >

f(x)=(x-5)/(x^2-7x+10)

Solution

f (x) = \frac{x - 5}{x ^{2} - 7 x + 10}

Solution

Domain : x < 2 or 2 < x < 5 or x > 5

Range : f (x) < 0 or 0 < f (x) < \frac{1}{3} or f (x) > \frac{1}{3}

Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Vertical x = 2, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 2) \cup (2, 5) \cup (5, \infty)

Range : (- \infty, 0) \cup (0, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Domain of

\frac{x - 5}{x ^{2} - 7 x + 10} : x < 2 or 2 < x < 5 or x > 5

Range of

\frac{x - 5}{x ^{2} - 7 x + 10} : f (x) < 0 or 0 < f (x) < \frac{1}{3} or f (x) > \frac{1}{3}

Axis interception points of

\frac{x - 5}{x ^{2} - 7 x + 10} :

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

\frac{x - 5}{x ^{2} - 7 x + 10} :

Vertical

: x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 5}{x ^{2} - 7 x + 10} :

None

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Frequently Asked Questions (FAQ)

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